User rdk - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-26T06:16:00Z http://mathoverflow.net/feeds/user/30077 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/116764/reference-finite-p-groups Reference: Finite $p$-Groups RDK 2012-12-19T07:48:08Z 2012-12-21T10:41:40Z <p>Hall and Blackburn made important contributions in the study of regular $p$-groups and $p$-groups of maximal class. From their work, one can understand that in the classification of groups of order $p^n$, we must have to make two main cases: $p\leq n$, and $p>n$. With this interest, I am searching more and more material to study small $p$-groups, and their classification. The books I referred are that of Berkovich (Groups of prime power order) and of Leedham-Green, McKay (Structure of groups of prime power order). </p> <p>Beside these two main references, can one suggest other books/notes which contains study of $p$-groups of maximal class and regular $p$-groups?</p> <p>(The book of Berkovich mentions one book in bibliography, that of A. Mann-Finite $p$-groups; but I couldn't find this book. Is this book or notes published?)</p> http://mathoverflow.net/questions/58033/degree-of-commutativity-of-finite-groups-and-subgroups Comment by RDK RDK 2013-01-17T04:47:18Z 2013-01-17T04:47:18Z In the title, &quot;Commutativity degree&quot; will be better than &quot;Degree of Commutativity&quot;; &quot;Degree of commutativity&quot; is an important (and totally different) concept in p-groups of maximal class, and it is an interesting area of research in theory of finite p-groups.